Information on Result #1016418
Linear OOA(9138, 1594341, F9, 3, 21) (dual of [(1594341, 3), 4782885, 22]-NRT-code), using (u, u+v)-construction based on
- linear OOA(911, 16, F9, 3, 10) (dual of [(16, 3), 37, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,37P) [i] based on function field F/F9 with g(F) = 1 and N(F) ≥ 16, using
- linear OOA(9127, 1594325, F9, 3, 21) (dual of [(1594325, 3), 4782848, 22]-NRT-code), using
- OOA 3-folding [i] based on linear OA(9127, 4782975, F9, 21) (dual of [4782975, 4782848, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(9127, 4782976, F9, 21) (dual of [4782976, 4782849, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- linear OA(9127, 4782969, F9, 21) (dual of [4782969, 4782842, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(9120, 4782969, F9, 20) (dual of [4782969, 4782849, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(90, 7, F9, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(20) ⊂ Ce(19) [i] based on
- discarding factors / shortening the dual code based on linear OA(9127, 4782976, F9, 21) (dual of [4782976, 4782849, 22]-code), using
- OOA 3-folding [i] based on linear OA(9127, 4782975, F9, 21) (dual of [4782975, 4782848, 22]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.